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Finding the Fourth Proportional to 6,439.22, 9,643.08 and 5,815.92

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Solution

The fourth proportional to 6,439.22, 9,643.08 and 5,815.92 is: 8,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.22 : 9,643.08 = 5,815.92 : x
  2. Step 2: Convert to fraction form
    6,439.22/9,643.08 = 5,815.92/x
  3. Step 3: Cross multiply
    6,439.22x = 9,643.08 × 5,815.92
  4. Step 4: Simplify right side
    6,439.22x = 56,083,381.83
  5. Step 5: Solve for x
    x = 56,083,381.83/6,439.22
  6. Step 6: Final answer
    x = 8,709.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.